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234154063570064 = 241123340716978099
BaseRepresentation
bin110101001111011000111101…
…110010000010010010010000
31010201001220120021210210001012
4311033120331302002102100
5221142340010233220224
62150000520343430052
7100215033656531351
oct6517307562022220
91121056507723035
10234154063570064
11686771a9557490
1222318762155328
13a0868308c4621
1441b718d641d28
151c10d4053380e
hexd4f63dc82490

234154063570064 has 80 divisors (see below), whose sum is σ = 516586264934400. Its totient is φ = 101776227146880.

The previous prime is 234154063570033. The next prime is 234154063570073. The reversal of 234154063570064 is 460075360451432.

It is a junction number, because it is equal to n+sod(n) for n = 234154063569994 and 234154063570021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5302487 + ... + 22280585.

It is an arithmetic number, because the mean of its divisors is an integer number (6457328311680).

Almost surely, 2234154063570064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234154063570064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258293132467200).

234154063570064 is an abundant number, since it is smaller than the sum of its proper divisors (282432201364336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234154063570064 is a wasteful number, since it uses less digits than its factorization.

234154063570064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16981548 (or 16981542 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 50.

The spelling of 234154063570064 in words is "two hundred thirty-four trillion, one hundred fifty-four billion, sixty-three million, five hundred seventy thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 3407 4048 6814 13628 27256 37477 54512 74954 78361 149908 156722 299816 313444 599632 626888 861971 1253776 1723942 3447884 6895768 13791536 16978099 33956198 67912396 135824792 186759089 271649584 373518178 390496277 747036356 780992554 1494072712 1561985108 2988145424 3123970216 4295459047 6247940432 8590918094 17181836188 34363672376 57844383293 68727344752 115688766586 231377533172 462755066344 636288216223 925510132688 1272576432446 1330420815739 2545152864892 2660841631478 5090305729784 5321683262956 10180611459568 10643366525912 14634628973129 21286733051824 29269257946258 58538515892516 117077031785032 234154063570064